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Bookmark or Share- Part I: Dependent Types - Arend Theorem ProverThis part is an introduction to the actual practices of working with dependent types in Arend. It contains example-based Arend-specific exposition of efficient ways of working with propositions and proofs, inductive types, classes and records, type universes, etc.
- Arend - Arend Theorem ProverArend is a theorem prover based on Homotopy Type Theory. It natively supports higher inductive types and a version of cubical syntax. IntelliJ Arend is a plugin for IntelliJ IDEA that turns it into a full-fledged IDE for the Arend language.
- Documentation - Arend Theorem ProverTutorial contains a more gentle introduction to the Arend language. Libraries describes how to manage Arend libraries. Standard Extensions explains the language extensions implemented in the standard library. To learn how to write proofs with IntelliJ Arend IDE, see Interactive Theorem Proving with IntelliJ Arend. Forums. Google Groups ...
- About - Arend Theorem ProverArend. Arend implements a version of homotopy type theory with an interval type, which syntax is similar to cubical type theory. This implies several nice properties of path types and allows for a simple and clean definition of higher inductive types (including recursive ones).
- Arend Features - Arend Theorem ProverTo learn more about homotopy features implemented in Arend, see below. Arend has a powerful class system, which supports Haskell-style instance inference. Class inheritance can be used to define various hierarchies of (algebraic) structures.
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